Département de Physique Appliquée, Université de Genève, 1211 Genève, Switzerland
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Abstract
Landauer’s principle gives a fundamental limit to the thermodynamic cost of erasing information. Its saturation requires a reversible isothermal process, and hence infinite time. We develop a finite-time version of Landauer’s principle for a bit encoded in the occupation of a single fermionic mode, which can be strongly coupled to a reservoir. By solving the exact non-equilibrium dynamics, we optimize erasure processes (taking both the fermion’s energy and system-bath coupling as control parameters) in the slow driving regime through a geometric approach to thermodynamics. We find analytic expressions for the thermodynamic metric and geodesic equations, which can be solved numerically. Their solution yields optimal processes that allow us to characterize a finite-time correction to Landauer’s bound, fully taking into account non-markovian and strong coupling effects.
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[1] R. Landauer, IBM Journal of Research and Development 5, 183 (1961).
https://doi.org/10.1147/rd.53.0183
[2] T. Sagawa and M. Ueda, Phys. Rev. Lett. 102, 250602 (2009).
https://doi.org/10.1103/PhysRevLett.102.250602
[3] M. Esposito and C. V. den Broeck, EPL (Europhysics Letters) 95, 40004 (2011).
https://doi.org/10.1209/0295-5075/95/40004
[4] S. Hilt, S. Shabbir, J. Anders, and E. Lutz, Phys. Rev. E 83, 030102 (2011).
https://doi.org/10.1103/PhysRevE.83.030102
[5] S. Deffner and C. Jarzynski, Phys. Rev. X 3, 041003 (2013).
https://doi.org/10.1103/PhysRevX.3.041003
[6] D. Reeb and M. M. Wolf, New Journal of Physics 16, 103011 (2014).
https://doi.org/10.1088/1367-2630/16/10/103011
[7] P. Faist, F. Dupuis, J. Oppenheim, and R. Renner, Nature Communications 6 (2015), 10.1038/ncomms8669.
https://doi.org/10.1038/ncomms8669
[8] S. Lorenzo, R. McCloskey, F. Ciccarello, M. Paternostro, and G. M. Palma, Phys. Rev. Lett. 115, 120403 (2015).
https://doi.org/10.1103/PhysRevLett.115.120403
[9] J. Goold, M. Paternostro, and K. Modi, Phys. Rev. Lett. 114, 060602 (2015).
https://doi.org/10.1103/PhysRevLett.114.060602
[10] A. M. Alhambra, L. Masanes, J. Oppenheim, and C. Perry, Phys. Rev. X 6, 041017 (2016).
https://doi.org/10.1103/PhysRevX.6.041017
[11] G. Guarnieri, S. Campbell, J. Goold, S. Pigeon, B. Vacchini, and M. Paternostro, New Journal of Physics 19, 103038 (2017).
https://doi.org/10.1088/1367-2630/aa8cf1
[12] H. J. Miller, G. Guarnieri, M. T. Mitchison, and J. Goold, Physical Review Letters 125 (2020), 10.1103/physrevlett.125.160602.
https://doi.org/10.1103/physrevlett.125.160602
[13] A. M. Timpanaro, J. P. Santos, and G. T. Landi, Phys. Rev. Lett. 124, 240601 (2020).
https://doi.org/10.1103/PhysRevLett.124.240601
[14] P. M. Riechers and M. Gu, Phys. Rev. A 104, 012214 (2021).
https://doi.org/10.1103/PhysRevA.104.012214
[15] L. Buffoni and M. Campisi, Journal of Statistical Physics 186 (2022), 10.1007/s10955-022-02877-8.
https://doi.org/10.1007/s10955-022-02877-8
[16] P. Taranto, F. Bakhshinezhad, A. Bluhm, R. Silva, N. Friis, M. P. Lock, G. Vitagliano, F. C. Binder, T. Debarba, E. Schwarzhans, F. Clivaz, and M. Huber, PRX Quantum 4, 010332 (2023).
https://doi.org/10.1103/PRXQuantum.4.010332
[17] C. Browne, A. J. P. Garner, O. C. O. Dahlsten, and V. Vedral, Phys. Rev. Lett. 113, 100603 (2014).
https://doi.org/10.1103/PhysRevLett.113.100603
[18] A. Bérut, A. Arakelyan, A. Petrosyan, S. Ciliberto, R. Dillenschneider, and E. Lutz, Nature 483, 187 (2012).
https://doi.org/10.1088/1742-5468/2015/06/P06015
[19] Y. Jun, M. Gavrilov, and J. Bechhoefer, Phys. Rev. Lett. 113, 190601 (2014).
https://doi.org/10.1103/PhysRevLett.113.190601
[20] A. Bérut, A. Petrosyan, and S. Ciliberto, J. Stat. Mech. 2015, P06015 (2015).
https://doi.org/10.1088/1742-5468/2015/06/p06015
[21] M. Gavrilov and J. Bechhoefer, Phys. Rev. Lett. 117, 200601 (2016).
https://doi.org/10.1103/PhysRevLett.117.200601
[22] J. Hong, B. Lambson, S. Dhuey, and J. Bokor, Sci. Adv. 2 (2016), 10.1126/sciadv.1501492.
https://doi.org/10.1126/sciadv.1501492
[23] L. Martini, M. Pancaldi, M. Madami, P. Vavassori, G. Gubbiotti, S. Tacchi, F. Hartmann, M. Emmerling, S. Höfling, L. Worschech, and G. Carlotti, Nano Energy 19, 108 (2016).
https://doi.org/10.1016/j.nanoen.2015.10.028
[24] R. Gaudenzi, E. Burzurí, S. Maegawa, H. S. J. van der Zant, and F. Luis, Nat. Phys. 14, 565 (2018).
https://doi.org/10.1038/s41567-018-0070-7
[25] O. Saira, M. H. Matheny, R. Katti, W. Fon, G. Wimsatt, J. P. Crutchfield, S. Han, and M. L. Roukes, Phys. Rev. Res. 2, 013249 (2020).
https://doi.org/10.1103/PhysRevResearch.2.013249
[26] S. Dago, J. Pereda, N. Barros, S. Ciliberto, and L. Bellon, Phys. Rev. Lett. 126, 170601 (2021).
https://doi.org/10.1103/PhysRevLett.126.170601
[27] S. Dago and L. Bellon, Phys. Rev. Lett. 128, 070604 (2022).
https://doi.org/10.1103/PhysRevLett.128.070604
[28] M. A. Ciampini, T. Wenzl, M. Konopik, G. Thalhammer, M. Aspelmeyer, E. Lutz, and N. Kiesel, arXiv:2107.04429 (2021).
https://doi.org/10.48550/arXiv.2107.04429
arXiv:2107.04429
[29] M. Scandi, D. Barker, S. Lehmann, K. A. Dick, V. F. Maisi, and M. Perarnau-Llobet, Phys. Rev. Lett. 129, 270601 (2022).
https://doi.org/10.1103/PhysRevLett.129.270601
[30] Nernst, W. Sitzber. Kgl. Preuss. Akad. Wiss. Physik-Math. Kl. 134 (1912), missing.
[31] L. Masanes and J. Oppenheim, Nature Communications 8 (2017), 10.1038/ncomms14538.
https://doi.org/10.1038/ncomms14538
[32] N. Freitas, R. Gallego, L. Masanes, and J. P. Paz, in Fundamental Theories of Physics (Springer International Publishing, 2018) pp. 597–622.
https://doi.org/10.1007/978-3-319-99046-0_25
[33] E. Aurell, C. Mejía-Monasterio, and P. Muratore-Ginanneschi, Phys. Rev. Lett. 106, 250601 (2011).
https://doi.org/10.1103/PhysRevLett.106.250601
[34] E. Aurell, K. Gawȩdzki, C. Mejía-Monasterio, R. Mohayaee, and P. Muratore-Ginanneschi, Journal of Statistical Physics 147, 487 (2012).
https://doi.org/10.1007/s10955-012-0478-x
[35] T. Van Vu and K. Saito, Phys. Rev. X 13, 011013 (2023).
https://doi.org/10.1103/PhysRevX.13.011013
[36] P. Salamon, B. Andresen, P. D. Gait, and R. S. Berry, J. Chem. Phys. 73, 1001 (1980).
https://doi.org/10.1063/1.440217
[37] P. Salamon and R. S. Berry, Phys. Rev. Lett. 51, 1127 (1983).
https://doi.org/10.1103/PhysRevLett.51.1127
[38] J. Nulton, P. Salamon, B. Andresen, and A. Qi, J. Chem. Phys. 83, 334 (1985).
https://doi.org/10.1063/1.449774
[39] B. Andresen, R. S. Berry, R. Gilmore, E. Ihrig, and P. Salamon, Phys. Rev. A 37, 845 (1988).
https://doi.org/10.1103/PhysRevA.37.845
[40] D. A. Sivak and G. E. Crooks, Phys. Rev. Lett. 108, 190602 (2012).
https://doi.org/10.1103/PhysRevLett.108.190602
[41] S. Deffner and M. V. S. Bonança, EPL (Europhysics Letters) 131, 20001 (2020).
https://doi.org/10.1209/0295-5075/131/20001
[42] P. Abiuso, H. J. D. Miller, M. Perarnau-Llobet, and M. Scandi, Entropy 22, 1076 (2020).
https://doi.org/10.3390/e22101076
[43] T. V. Vu and Y. Hasegawa, Physical Review Letters 126 (2021), 10.1103/physrevlett.126.010601.
https://doi.org/10.1103/physrevlett.126.010601
[44] P. R. Zulkowski and M. R. DeWeese, Phys. Rev. E 89, 052140 (2014).
https://doi.org/10.1103/PhysRevE.89.052140
[45] K. Proesmans, J. Ehrich, and J. Bechhoefer, Phys. Rev. Lett. 125, 100602 (2020a).
https://doi.org/10.1103/PhysRevLett.125.100602
[46] K. Proesmans, J. Ehrich, and J. Bechhoefer, Phys. Rev. E 102, 032105 (2020b).
https://doi.org/10.1103/PhysRevE.102.032105
[47] A. B. Boyd, A. Patra, C. Jarzynski, and J. P. Crutchfield, Journal of Statistical Physics 187, 1 (2022).
https://doi.org/10.1007/s10955-022-02871-0
[48] J. S. Lee, S. Lee, H. Kwon, and H. Park, Phys. Rev. Lett. 129, 120603 (2022).
https://doi.org/10.1103/PhysRevLett.129.120603
[49] G. Diana, G. B. Bagci, and M. Esposito, Phys. Rev. E 87, 012111 (2013).
https://doi.org/10.1103/PhysRevE.87.012111
[50] M. Scandi and M. Perarnau-Llobet, Quantum 3, 197 (2019).
https://doi.org/10.22331/q-2019-10-24-197
[51] Y.-Z. Zhen, D. Egloff, K. Modi, and O. Dahlsten, Phys. Rev. Lett. 127, 190602 (2021).
https://doi.org/10.1103/PhysRevLett.127.190602
[52] T. Van Vu and K. Saito, Phys. Rev. Lett. 128, 010602 (2022).
https://doi.org/10.1103/PhysRevLett.128.010602
[53] Y.-Z. Zhen, D. Egloff, K. Modi, and O. Dahlsten, Phys. Rev. E 105, 044147 (2022).
https://doi.org/10.1103/PhysRevE.105.044147
[54] Y.-H. Ma, J.-F. Chen, C. P. Sun, and H. Dong, Phys. Rev. E 106, 034112 (2022).
https://doi.org/10.1103/PhysRevE.106.034112
[55] P. Strasberg, G. Schaller, N. Lambert, and T. Brandes, New Journal of Physics 18, 073007 (2016).
https://doi.org/10.1088/1367-2630/18/7/073007
[56] C. Jarzynski, Phys. Rev. X 7, 011008 (2017).
https://doi.org/10.1103/PhysRevX.7.011008
[57] H. J. D. Miller, in Fundamental Theories of Physics (Springer International Publishing, 2018) pp. 531–549.
https://doi.org/10.1007/978-3-319-99046-0_22
[58] A. Nazir and G. Schaller, in Fundamental Theories of Physics (Springer International Publishing, 2018) pp. 551–577.
https://doi.org/10.1007/978-3-319-99046-0_23
[59] P. Talkner and P. Hänggi, Rev. Mod. Phys. 92, 041002 (2020).
https://doi.org/10.1103/RevModPhys.92.041002
[60] A. Rivas, Phys. Rev. Lett. 124, 160601 (2020).
https://doi.org/10.1103/PhysRevLett.124.160601
[61] M. Brenes, J. J. Mendoza-Arenas, A. Purkayastha, M. T. Mitchison, S. R. Clark, and J. Goold, Phys. Rev. X 10, 031040 (2020).
https://doi.org/10.1103/PhysRevX.10.031040
[62] N. Pancotti, M. Scandi, M. T. Mitchison, and M. Perarnau-Llobet, Phys. Rev. X 10, 031015 (2020).
https://doi.org/10.1103/PhysRevX.10.031015
[63] S. Alipour, A. Chenu, A. T. Rezakhani, and A. del Campo, Quantum 4, 336 (2020).
https://doi.org/10.22331/q-2020-09-28-336
[64] K. Ptaszyński, Physical Review E 106 (2022), 10.1103/physreve.106.014114.
https://doi.org/10.1103/physreve.106.014114
[65] M. Carrega, L. M. Cangemi, G. De Filippis, V. Cataudella, G. Benenti, and M. Sassetti, PRX Quantum 3, 010323 (2022).
https://doi.org/10.1103/PRXQuantum.3.010323
[66] F. Cavaliere, M. Carrega, G. D. Filippis, V. Cataudella, G. Benenti, and M. Sassetti, Physical Review Research 4 (2022), 10.1103/physrevresearch.4.033233.
https://doi.org/10.1103/physrevresearch.4.033233
[67] F. Ivander, N. Anto-Sztrikacs, and D. Segal, Phys. Rev. E 105, 034112 (2022).
https://doi.org/10.1103/PhysRevE.105.034112
[68] D. Newman, F. Mintert, and A. Nazir, Phys. Rev. E 95, 032139 (2017).
https://doi.org/10.1103/PhysRevE.95.032139
[69] M. Perarnau-Llobet, H. Wilming, A. Riera, R. Gallego, and J. Eisert, Physical Review Letters 120 (2018), 10.1103/physrevlett.120.120602.
https://doi.org/10.1103/physrevlett.120.120602
[70] P. Strasberg, G. Schaller, T. L. Schmidt, and M. Esposito, Physical Review B 97 (2018), 10.1103/physrevb.97.205405.
https://doi.org/10.1103/physrevb.97.205405
[71] M. Wiedmann, J. T. Stockburger, and J. Ankerhold, New Journal of Physics 22, 033007 (2020).
https://doi.org/10.1088/1367-2630/ab725a
[72] J. Liu, K. A. Jung, and D. Segal, Phys. Rev. Lett. 127, 200602 (2021).
https://doi.org/10.1103/PhysRevLett.127.200602
[73] Y. Shirai, K. Hashimoto, R. Tezuka, C. Uchiyama, and N. Hatano, Phys. Rev. Research 3, 023078 (2021).
https://doi.org/10.1103/PhysRevResearch.3.023078
[74] S. Koyanagi and Y. Tanimura, The Journal of Chemical Physics 157, 084110 (2022).
https://doi.org/10.1063/5.0107305
[75] J. Liu and K. A. Jung, Phys. Rev. E 106, L022105 (2022).
https://doi.org/10.1103/PhysRevE.106.L022105
[76] G. Schaller, Open quantum systems far from equilibrium, Vol. 881 (Springer, 2014).
https://doi.org/10.1007/978-3-319-03877-3
[77] M. F. Ludovico, J. S. Lim, M. Moskalets, L. Arrachea, and D. Sánchez, Phys. Rev. B 89, 161306 (2014).
https://doi.org/10.1103/PhysRevB.89.161306
[78] M. Esposito, M. A. Ochoa, and M. Galperin, Phys. Rev. Lett. 114, 080602 (2015a).
https://doi.org/10.1103/PhysRevLett.114.080602
[79] M. Esposito, M. A. Ochoa, and M. Galperin, Phys. Rev. B 92, 235440 (2015b).
https://doi.org/10.1103/PhysRevB.92.235440
[80] A. Bruch, M. Thomas, S. Viola Kusminskiy, F. von Oppen, and A. Nitzan, Phys. Rev. B 93, 115318 (2016).
https://doi.org/10.1103/PhysRevB.93.115318
[81] P. Haughian, M. Esposito, and T. L. Schmidt, Phys. Rev. B 97, 085435 (2018).
https://doi.org/10.1103/PhysRevB.97.085435
[82] M. T. Mitchison and M. B. Plenio, New Journal of Physics 20, 033005 (2018).
https://doi.org/10.1088/1367-2630/aa9f70
[83] K. Tong and W. Dou, Journal of Physics: Condensed Matter 34, 495703 (2022).
https://doi.org/10.1088/1361-648x/ac99c8
[84] S. A. Hartnoll and A. P. Mackenzie, Rev. Mod. Phys. 94, 041002 (2022).
https://doi.org/10.1103/RevModPhys.94.041002
[85] S. Sachdev, Quantum Phase Transitions, 2nd ed. (Cambridge University Press, 2011).
https://doi.org/10.1017/CBO9780511973765
[86] J. Maldacena, S. H. Shenker, and D. Stanford, Journal of High Energy Physics 2016 (2016), 10.1007/jhep08(2016)106.
https://doi.org/10.1007/jhep08(2016)106
[87] S. Pappalardi and J. Kurchan, SciPost Phys. 13, 006 (2022).
https://doi.org/10.21468/SciPostPhys.13.1.006
[88] P. R. Zulkowski, D. A. Sivak, G. E. Crooks, and M. R. DeWeese, Phys. Rev. E 86, 041148 (2012).
https://doi.org/10.1103/PhysRevE.86.041148
[89] M. V. S. Bonança and S. Deffner, J. Chem. Phys. 140, 244119 (2014).
https://doi.org/10.1063/1.4885277
[90] G. M. Rotskoff, G. E. Crooks, and E. Vanden-Eijnden, Phys. Rev. E 95, 012148 (2017).
https://doi.org/10.1103/PhysRevE.95.012148
[91] G. Li, J.-F. Chen, C. P. Sun, and H. Dong, Phys. Rev. Lett. 128, 230603 (2022).
https://doi.org/10.1103/PhysRevLett.128.230603
[92] J. Eglinton and K. Brandner, Phys. Rev. E 105, L052102 (2022).
https://doi.org/10.1103/PhysRevE.105.L052102
[93] A. G. Frim and M. R. DeWeese, Phys. Rev. Lett. 128, 230601 (2022).
https://doi.org/10.1103/PhysRevLett.128.230601
[94] J.-F. Chen, R.-X. Zhai, C. Sun, and H. Dong, arXiv preprint arXiv:2209.07269 (2022), 10.48550/arXiv.2209.07269.
https://doi.org/10.48550/arXiv.2209.07269
arXiv:2209.07269
[95] H. J. D. Miller, M. Scandi, J. Anders, and M. Perarnau-Llobet, Phys. Rev. Lett. 123, 230603 (2019).
https://doi.org/10.1103/PhysRevLett.123.230603
[96] P. Abiuso and M. Perarnau-Llobet, Phys. Rev. Lett. 124, 110606 (2020).
https://doi.org/10.1103/PhysRevLett.124.110606
[97] K. Brandner and K. Saito, Phys. Rev. Lett. 124, 040602 (2020).
https://doi.org/10.1103/PhysRevLett.124.040602
[98] P. Terrén Alonso, P. Abiuso, M. Perarnau-Llobet, and L. Arrachea, PRX Quantum 3, 010326 (2022).
https://doi.org/10.1103/PRXQuantum.3.010326
[99] M. Mehboudi and H. J. D. Miller, Phys. Rev. A 105, 062434 (2022).
https://doi.org/10.1103/PhysRevA.105.062434
[100] S. Deffner and E. Lutz, Phys. Rev. Lett. 105, 170402 (2010).
https://doi.org/10.1103/PhysRevLett.105.170402
[101] J. Eisert, M. Friesdorf, and C. Gogolin, Nature Physics 11, 124 (2015).
https://doi.org/10.1038/nphys3215
[102] L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, Advances in Physics 65, 239 (2016).
https://doi.org/10.1080/00018732.2016.1198134
[103] Y. Subaşı, C. H. Fleming, J. M. Taylor, and B. L. Hu, Physical Review E 86 (2012), 10.1103/physreve.86.061132.
https://doi.org/10.1103/physreve.86.061132
[104] M. Merkli, Annals of Physics 412, 167996 (2020).
https://doi.org/10.1016/j.aop.2019.167996
[105] J. D. Cresser and J. Anders, Phys. Rev. Lett. 127, 250601 (2021).
https://doi.org/10.1103/PhysRevLett.127.250601
[106] A. S. Trushechkin, M. Merkli, J. D. Cresser, and J. Anders, AVS Quantum Science 4, 012301 (2022).
https://doi.org/10.1116/5.0073853
[107] V. Cavina, A. Mari, and V. Giovannetti, Phys. Rev. Lett. 119, 050601 (2017).
https://doi.org/10.1103/PhysRevLett.119.050601
[108] T. Schmiedl and U. Seifert, Phys. Rev. Lett. 98, 108301 (2007).
https://doi.org/10.1103/PhysRevLett.98.108301
[109] M. Esposito, R. Kawai, K. Lindenberg, and C. Van Den Broeck, EPL 89, 20003 (2010).
https://doi.org/10.1209/0295-5075/89/20003
[110] S. Rochette, M. Rudolph, A.-M. Roy, M. J. Curry, G. A. T. Eyck, R. P. Manginell, J. R. Wendt, T. Pluym, S. M. Carr, D. R. Ward, M. P. Lilly, M. S. Carroll, and M. Pioro-Ladrière, Applied Physics Letters 114, 083101 (2019).
https://doi.org/10.1063/1.5091111
[111] F. Evers, R. Korytár, S. Tewari, and J. M. van Ruitenbeek, Rev. Mod. Phys. 92, 035001 (2020).
https://doi.org/10.1103/RevModPhys.92.035001
[112] F. Covito, F. G. Eich, R. Tuovinen, M. A. Sentef, and A. Rubio, Journal of Chemical Theory and Computation 14, 2495 (2018).
https://doi.org/10.1021/acs.jctc.8b00077
[113] L. W. Tu, Differential Geometry (Springer International Publishing, 2017).
https://doi.org/10.1007/978-3-319-55084-8
[114] L. Fox and D. F. Mayers, Numerical Solution of Ordinary Differential Equations (Springer Netherlands, 1987).
https://doi.org/10.1007/978-94-009-3129-9
[115] A. Soriani, E. Miranda, and M. V. S. Bonança, New Journal of Physics 24, 113037 (2022).
https://doi.org/10.1088/1367-2630/aca177
[116] M. Ciorga, A. S. Sachrajda, P. Hawrylak, C. Gould, P. Zawadzki, S. Jullian, Y. Feng, and Z. Wasilewski, Phys. Rev. B 61, R16315 (2000).
https://doi.org/10.1103/PhysRevB.61.R16315
[117] J. M. Elzerman, R. Hanson, J. S. Greidanus, L. H. Willems van Beveren, S. De Franceschi, L. M. K. Vandersypen, S. Tarucha, and L. P. Kouwenhoven, Phys. Rev. B 67, 161308 (2003).
https://doi.org/10.1103/PhysRevB.67.161308
[118] J. V. Koski, V. F. Maisi, J. P. Pekola, and D. V. Averin, Proceedings of the National Academy of Sciences 111, 13786 (2014a).
https://doi.org/10.1073/pnas.1406966111
[119] J. V. Koski, V. F. Maisi, T. Sagawa, and J. P. Pekola, Phys. Rev. Lett. 113, 030601 (2014b).
https://doi.org/10.1103/PhysRevLett.113.030601
[120] S. Ismail-Beigi, Yale notes (2013).
https://volga.eng.yale.edu/sites/default/files/files/general-lorentzian-integrals.pdf
[121] P. A. Erdman, A. Rolandi, P. Abiuso, M. Perarnau-Llobet, and F. Noé, Phys. Rev. Res. 5, L022017 (2023).
https://doi.org/10.1103/PhysRevResearch.5.L022017
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[2] Hong-Bo Huang, Geng Li, and Hui Dong, “Qubit Reset with a Shortcut-to-Isothermal Scheme”, arXiv:2310.18997, (2023).
[3] Sayan Mondal, Aparajita Bhattacharyya, Ahana Ghoshal, and Ujjwal Sen, “Modified Landauer’s principle: How much can the Maxwell’s demon gain by using general system-environment quantum state?”, arXiv:2309.09678, (2023).
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- 11
- 110
- 114
- 116
- 118
- 12
- 120
- 121
- 125
- 13
- 14
- 15%
- 16
- 161306
- 17
- 19
- 1985
- 20
- 2000
- 2009
- 2010
- 2011
- 2012
- 2013
- 2014
- 2015
- 2016
- 2017
- 2018
- 2019
- 2020
- 2021
- 2022
- 2023
- 22
- 23
- 24
- 25
- 26
- 27
- 28
- 29
- 30
- 31
- 32
- 33
- 35%
- 36
- 39
- 40
- 41
- 46
- 49
- 50
- 51
- 54
- 58
- 60
- 65
- 66
- 67
- 7
- 70
- 72
- 73
- 75
- 77
- 8
- 80
- 84
- 87
- 9
- 90
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- 97
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- CAN
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- comment
- Commons
- Communications
- compared
- complete
- computation
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- plato
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